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习题练习:Kognity IB Physics A.0 Measurements & Uncertainty

 作者: admin   总分: 39分  得分: _____________

答题人: 游客未登录  开始时间: 24年09月04日 22:27  切换到: 整卷模式

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1#
 
单选题 ( 1.0 分) (组内1/10) 切至整卷模式 搜藏此题  
第 1 题组 (共 10 题 10 分)
  Which of the following7p os bmf 9og9ncu,mp0vo/0w.61yxxm could be a unit of power?

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2#
 
单选题 ( 1.0 分) (组内2/10) 切至整卷模式 搜藏此题  
  By approximately how many powers of t zus/-kjxz48;:a +tc el znpx2en is the height of a human larger than the height oxt zlpeaz :+;2/uzxnj c8sk4 -f a grain of sand?

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3#
 
单选题 ( 1.0 分) (组内3/10) 切至整卷模式 搜藏此题  
  What is the value offd5zlcw;r4j* 0y-0uzhs k 1ex $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

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4#
 
单选题 ( 1.0 分) (组内4/10) 切至整卷模式 搜藏此题  
  Which of the following is -r9ub9oy t mjvgmnd)/ gh ,s1xmr7 za7puu(;7 a fundamental unit in the SI system?

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5#
 
单选题 ( 1.0 分) (组内5/10) 切至整卷模式 搜藏此题  
  The volume of the Earth is appr)r-hk 2z6 m 0oqt i7p27fmlrqce79wheoximately $10^{12} \mathrm{~km}^3$ and the volume of a grain of sand is approximately $1 \mathrm{~mm}^3$. To the nearest order of magnitude, if the Earth was hollow, how many grains of sand could it contain?

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6#
 
单选题 ( 1.0 分) (组内6/10) 切至整卷模式 搜藏此题  
  A farmer in Tanzania has an average life expectancy of 62 years. Which of the following is an estimate of his lifetime in seconds?

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7#
 
单选题 ( 1.0 分) (组内7/10) 切至整卷模式 搜藏此题  
  Estimate, to the nearest order of magnst;.0rew ;vtirb7 f;xitude, the number of heartbeats of an average adult0xr;iv sr.f7;;wt etb human in a day.

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8#
 
单选题 ( 1.0 分) (组内8/10) 切至整卷模式 搜藏此题  
  Which of the following contains one fundamental unit and one d :qrz4 )iw(oyz5 f2rp+c,vjhp6 i2s wwerived unit?

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9#
 
单选题 ( 1.0 分) (组内9/10) 切至整卷模式 搜藏此题  
  If A=10.0 and B=0.50, which calculs k 8:mcu4*yuzation will give the answer with the most decimal ps8yc u 4mz*:kulaces?

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10#
 
单选题 ( 1.0 分) (组内10/10) 切至整卷模式 搜藏此题  
  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of rtm.),iya : vcys62qe magnitude of the ratio between the mass of the car to that of vc 2etyy.:rqm, 6as)ithe mouse?

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11#
 
填空题 ( 1.0 分) (组内1/29) 切至整卷模式 搜藏此题  
第 2 题组 (共 29 题 29 分)
  A train travels $62.4 \pm 0.7$ meters in $7.748 \pm 0.05$ seconds. What is the absolute uncertainty in its speed?  (数值)  (Leave your answer to two significant figures, without units and without the $\pm$ symbol.)

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12#
 
填空题 ( 1.0 分) (组内2/29) 切至整卷模式 搜藏此题  
  A water tank is the shape of a cube witho 3mjlcbv n/r5 tk0j pz960:+kn(svnv sides of $2.57 \mathrm{~m}$. Each side is measured with an uncertainty of $0.4 \%$. What is the absolute uncertainty in the volume of the tank?  (数值)  (Give your answer without a unit and to 2 significant figures)

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13#
 
填空题 ( 1.0 分) (组内3/29) 切至整卷模式 搜藏此题  
  A pyramid has a squareo-axy .x- wla5 base of side $x$ and height $h$. The volume $V$ of the pyramid is given by the expression:
$$V=\frac{x^2 h}{3}$$
If $V$ is measured to $8.7 \%$ and $h$ is measured to $1 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

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14#
 
单选题 ( 1.0 分) (组内4/29) 切至整卷模式 搜藏此题  
  The length of a pencil is measured using part of a metre r3 +decaasw+ 9p 6x5,q8j+vxhmob 2 ckbule that is graduated in millimetres2bxemh6,pcx+v8 k3+qsbwo c+ j95ad a, as shown below.

What is the length of the pencil?

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15#
 
填空题 ( 1.0 分) (组内5/29) 切至整卷模式 搜藏此题  
  The volume $V$ of a cone of height $h$ and radius $r$ is given by the expression:
$$V=\frac{\pi r^2 h}{3}$$
In a particular experiment, there is a $5.3 \% $ uncertainty in $V$ and a $2.0 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

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16#
 
填空题 ( 1.0 分) (组内6/29) 切至整卷模式 搜藏此题  
  The radius of a balloon is measurepuu-g5kf h1k,b), wwi y4q0rcd to be $29.6 \pm 0.9 \; cm$. What is the percentage uncertainty in the calculated volume of the balloon?  (数值) % (Remember to keep three significant figures and exclude the $\%$ symbol with your answer and treat the balloon as a sphere)

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17#
 
填空题 ( 1.0 分) (组内7/29) 切至整卷模式 搜藏此题  
  The period $T$ of oscillation of a pendulum of length $l$ is given by:
$$T=2 \pi \sqrt{\frac{l}{g}} .$$
If the uncertainty in $g$ is $1.6 \%$ and the uncertainty in $l$ is $5.5 \%$, what is the percentage uncertainty in $T$ ?  (数值) % (only fill in numerical value without the % sign and keep two significant figures)

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18#
 
填空题 ( 1.0 分) (组内8/29) 切至整卷模式 搜藏此题  
  The lengths of the side9 opbf1u,9xbb8q1 t n.kyb4fts of a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 11 \%$. What is the absolute uncertainty in the volume of the room?  (数值)  $m^3$ (Give your answer in $\mathrm{m}^3$ to two significant figures, without a unit.)

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19#
 
填空题 ( 1.0 分) (组内9/29) 切至整卷模式 搜藏此题  
  The potential differtr9kanb;gp9nmi 8i hse3 -17qence ($V$) across a resistor is measured with a digital voltmeter to be $0.50 \; V$ . What is the percentage uncertainty in $V^2$ ?  (数值) % (only put numerical values in the blank and keep two significant figures.)

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20#
 
单选题 ( 1.0 分) (组内10/29) 切至整卷模式 搜藏此题  
  By averaging three measuremen8kx gl.oc*;b 80 r4eeg* lzabats of the same quantity which of the following can be reduzkbl r80gg ;e*alex*. 4c8b aoced?

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21#
 
单选题 ( 1.0 分) (组内11/29) 切至整卷模式 搜藏此题  
  A student measures a distance four times. k,orv4(2ing8e kjt/q The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. Whao(qt ,eij k4 8nkrv2g/t is the best estimate of this measurement?

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22#
 
单选题 ( 1.0 分) (组内12/29) 切至整卷模式 搜藏此题  
  A student measures two lengtze7 t:+5sipr6 oro ka;; 9pasahs as follows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

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23#
 
单选题 ( 1.0 分) (组内13/29) 切至整卷模式 搜藏此题  
  The time for two events, a and b, are 52lo a+v2bghvq8 t;gkmeasured to be $(5.1 \pm 0.1)s$ and $(4.9 \pm 0.1)s$ respectively. In which of the following quantities is the fractional(percent) uncertainty the smallest?

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24#
 
单选题 ( 1.0 分) (组内14/29) 切至整卷模式 搜藏此题  
  The variation of quantity P as quantity Q varies iir -pg3k kcl0k5 msosy/f9x7 *s plotted. Theory states that P ssls3rcpf 79/0y5k-xk k*gmi o hould vary linearly with Q.


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25#
 
单选题 ( 1.0 分) (组内15/29) 切至整卷模式 搜藏此题  
  The length of a pencil is measured using part of a g dhhabw+:j1,z.i;eq tqn-i )measuring tape as shown below., a-h n;ghe:zibwjidt+)qq.1

What is the length of the pencil?

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26#
 
单选题 ( 1.0 分) (组内16/29) 切至整卷模式 搜藏此题  
  The masses and weights of different objects are independently measured p 6v 6rw4e +nlzj/(,0fwlxrow:x*kvd. The graph is a plot of weight vo/ xdrr( w+zwe:kx,6nvvfp 4*lj6l0 wersus mass that includes error bars.

What do these experimental results suggest?

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27#
 
单选题 ( 1.0 分) (组内17/29) 切至整卷模式 搜藏此题  
  The resistance $R$, and cross-sectional area $A$, of equal lengths of wire are measured at constant temperature and a graph of $R$ against $\frac{1}{A}$ is plotted. Which one of the following graphs would be obtained if $R$ is directly proportional to $\frac{1}{A}$ and if there is a significant systematic error in the measurement of $R ?$


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28#
 
填空题 ( 1.0 分) (组内18/29) 切至整卷模式 搜藏此题  
  The lengths of the si4+twa py)oq9+c7nefs/pjuf1 w+:p cmdes of a rectangular plate are measured, and the diagram shows the measurf+) pq stea1 c nwpuyw74pf:m+/j9c+ oed values with their uncertainties.

What is the percentage error in the area of the plate?   %. (Remember to exclude the % symbol with your answer.)

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29#
 
填空题 ( 1.0 分) (组内19/29) 切至整卷模式 搜藏此题  
  The density of a solid sphere is measured with percentage uncertainty of 8%.t/ry kq o. ww*3b3x:ek The rat33/*yb: oex kwk wq.rdius of the sphere is 2.3 ± 0.1 cm. What is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

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30#
 
单选题 ( 1.0 分) (组内20/29) 切至整卷模式 搜藏此题  
  Experimental data has sstk+w imul1 5 *jlh6-ew5i4c bhown that:
$$
P=\frac{g h^2}{u^3}
$$
where $g$ is a constant. If the percentage uncertainties in $h$ and $u$ are $a$ and $b$ respectively, what is the percentage uncertainty in $P ?$

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31#
 
单选题 ( 1.0 分) (组内21/29) 切至整卷模式 搜藏此题  
  An experiment used to measure the acceler ,po7i2 w7g 7vvv0bvr u4o)leet-a or8ation due to gravity produces the follow,ebpl4toe0w8io- 7 o27 rurgv)vva7ving results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
Which of the following statements is true about these data?
Are there random or systematic errors, both, or neither?
(Acceleration due to gravity, $g$, on Earth is usually taken as $9.81 \mathrm{~m} \mathrm{~s}^{-2}$ ).

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32#
 
填空题 ( 1.0 分) (组内22/29) 切至整卷模式 搜藏此题  
  A rectangle was drawn using a ruler, such that each measurement has an uncer0l:ie- hp lk .g- awsabm)a25:ciy y(stainty : y.gaeb(-ia: i) 0c lms a2sw5l-kphyof $0.5 \mathrm{~cm} .$

What is the absolute uncertainty in the area of the entire rectangle (i.e. combined small and big rectangles), in $\mathrm{cm}^2$ ?    $cm^2$ (Do not write units with the answer. Give your answer to 2 significant figures.)

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33#
 
填空题 ( 1.0 分) (组内23/29) 切至整卷模式 搜藏此题  
  For an object of mass5e ls 60u9cura $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.7 \%$ uncertainty in the kinetic energy ($KE = \frac{1}{2}mv^2$) ?  (数值) % (do not include the percent sign in your final result)

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34#
 
单选题 ( 1.0 分) (组内24/29) 切至整卷模式 搜藏此题  
  An ammeter has a non-negl1, nq4)go*wzi+hh itsroy ) 7ohtb)j8igible zero offset error. Which of the following statements is coowoi4o)bz)8 7sqig h,hrtt j y+1n*)h rrect?

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35#
 
填空题 ( 1.0 分) (组内25/29) 切至整卷模式 搜藏此题  
  A student measures a length five ti3+ x,, .ufqgsa.wves n lwk-y4mes. All of the measurements lie between $18.8 \mathrm{~cm}$ and $19.2 \mathrm{~cm}$. What should the student quote as the absolute uncertainty in the length? The absolute uncertainty is    $cm$ (Do not include the $\pm$ symbol nor the unit)

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36#
 
单选题 ( 1.0 分) (组内26/29) 切至整卷模式 搜藏此题  
  A piece of string 9.5 ± 0.3 cm lo-:;6 a(sd)nq t jt 30mjzsgejung is cut from a longer piece that is 12.6 ± 0.3 cm s: )z0(6q-jtju snm;geatj d3long. How long is the remaining piece of string?

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37#
 
填空题 ( 1.0 分) (组内27/29) 切至整卷模式 搜藏此题  
  A current of value $I$ flows through a resistor of resistance $R$ and the power dissipated is $I^2 R$. The value of $I$ has an uncertainty of $\pm 2 \%$ and the value of $R$ has an uncertainty of $\pm 4 \%$. What is the percentage uncertainty in the calculated power dissipation?  (数值) % (Give your answer correct to two significant figures without the % sign.)

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38#
 
填空题 ( 1.0 分) (组内28/29) 切至整卷模式 搜藏此题  
  A force of 10.0 ± 0.4 N is applied to cq u-v+du/)xegjw(: ra mass of 2.0 ± 0.23 kg, causing it to accelerate. What is the percentage uncertainty od j: u veu-w/c)+xqrg(f its acceleration?  (数值) % (do not include the percent sign in your result)

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39#
 
填空题 ( 1.0 分) (组内29/29) 切至整卷模式 搜藏此题  
  The radius of a circle of wire is measureyhesn up 4q1-mzul w/bqac/.6; - j/tgd to be 10.0 ± 1.1 cm.
What is the percentage error in the area of the loop?  (数值) %
What is the percentage error in the circumference of the loop?  (数值) %

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